lwjgl - draw curve with "effects"

Hi, I would like to create something like: (Not the game, just the glowing ray) http://troublmaker.files.wordpress.com/2010/08/voidray.jpg
I tried myself with particles but they are not that awesome. In addition my ray isn’t straight, it is inflected by some forces.
I am wondering about creating a line that isn’t that angled.
I have serveral forces on my map. The ray is pushed or pulled by them -> a curve. At the moment I create an array of Points that describe my curve and then I am using lines to connect them.
Maybe it wouldn’t look angled if the “glowing wabble effect is added to the line”, how would you create something like that?
best regards

Shaders? Animate it with a nice texture making it look like a beam weapon?